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The equation provided is:

\[
5y = 4x - 20
\]

We need to find the ordered pairs for two cases:

1. When \( x = 0 \) (which will give us the value of \( y \))
2. When \( y = 0 \) (which will give us the value of \( x \))

### Case 1: When \( x = 0 \)

Substitute \( x = 0 \) into the equation:

\[
5y = 4(0) - 20
\]

\[
5y = -20
\]

Now, divide both sides by 5:

\[
y = -4
\]

So, the ordered pair is \( (0, -4) \).

### Case 2: When \( y = 0 \)

Substitute \( y = 0 \) into the equation:

\[
5(0) = 4x - 20
\]

\[
0 = 4x - 20
\]

Add 20 to both sides:

\[
20 = 4x
\]

Now, divide both sides by 4:

\[
x = 5
\]

So, the ordered pair is \( (5, 0) \).

### Summary:
- The ordered pair when \( x = 0 \) is \( (0, -4) \).
- The ordered pair when \( y = 0 \) is \( (5, 0) \).

These points can now be used to graph the equation.

Would you like any further details or explanations?

Here are some related questions:
1. How can you verify that the ordered pairs satisfy the equation?
2. What is the slope and y-intercept of the given equation?
3. How would you rearrange the equation to slope-intercept form?
4. What are some additional points that satisfy the equation?
5. How does changing the coefficient of \( x \) affect the graph?

**Tip**: The slope of a linear equation can be found by expressing the equation in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Give ordered pairs that are solutions and graph the equation: 5y = 4x - 20. Complete the ordered pairs so they are solutions to the given equation when x = 0 and y = 0.

Learn how to solve the linear equation 5y = 4x - 20 by completing ordered pairs for x = 0 and y = 0. This guide includes key steps for solving and graphing linear equations, suitable for students in Grades 7-9.

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